Name
Title | ||
|---|---|---|
Deterministic Equivalents for the Performance Analysis of Isometric Random Precoded Systems |
Abstract | ||
|---|---|---|
We consider a general wireless channel model for different types of code-division multiple access (CDMA) and space-division multiple-access (SDMA) systems with isometric random signature/precoding matrices over frequency-selective and flat fading channels. We derive deterministic approximations of the Stieltjes transform, the mutual information and the signal-to-interference-plus-noise ratio (SINR) at the output of the minimum-mean-square-error (MMSE) receiver and provide a simple fixed-point algorithm for their computation, which is proved to converge. The deterministic approximations are asymptotically tight, almost surely, but shown by simulations to be very accurate for even small system dimensions. Our analysis requires neither arguments from free probability theory nor the asymptotic freeness or the convergence of the spectral distribution of the involved matrices. The results presented in this work are, therefore, also a novel contribution to the field of random matrix theory and might be useful to further applications involving isometric random matrices. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1109/icc.2011.5962503 | Communications |
Keywords | Field | DocType |
code division multiple access,fading channels,least mean squares methods,matrix algebra,precoding,space division multiple access,CDMA systems,MMSE receiver,SDMA systems,SINR,Stieltjes transform,code division multiple access system,deterministic approximations,fixed-point algorithm,flat fading channels,free probability theory,frequency-selective channels,isometric random signature-precoding matrices,minimum mean square error receiver,random matrix theory,signal-to-interference-plus-noise ratio,space division multiple access systems,wireless channel model | Convergence (routing),Discrete mathematics,Applied mathematics,Fading,Matrix (mathematics),Real-time computing,Mutual information,Almost surely,Free probability,Mathematics,Precoding,Random matrix | Conference |
ISSN | ISBN | Citations |
1550-3607 E-ISBN : 978-1-61284-231-8 | 978-1-61284-231-8 | 1 |
PageRank | References | Authors |
0.35 | 12 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jakob Hoydis | 1 | 2121 | 112.59 |
| Romain Couillet | 2 | 692 | 74.03 |
| Merouane Debbah | 3 | 650 | 34.40 |